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Saturday, 31 October

JEE Main 2021 · MathsMultiple choiceSingle correctMediumConceptual

JEE Main 31 August 2021, Shift 1, Maths Q80

Question 80 of 90 in this shift, Maths question 20 of 30, Section A.

Let ∗,▯∈{∧,∨}*, ▯ \in \{\wedge, \vee\} be such that the Boolean expression (p∗∼q)⇒(p ▯ q)(\mathrm{p}*\sim\mathrm{q})\Rightarrow(\mathrm{p}\,▯\,\mathrm{q}) is a tautology. Then :
  1. (1)∗=∧, ▯=∧* = \wedge,\ ▯ = \wedge
  2. (2)∗=∧, ▯=∨* = \wedge,\ ▯ = \veeOfficial answer
  3. (3)∗=∨, ▯=∧* = \vee,\ ▯ = \wedge
  4. (4)∗=∨, ▯=∨* = \vee,\ ▯ = \vee

Official answer

Option 2

NTA final key.

Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.